Minimax optimal rates of convergence for multicategory classifications

DOI10.1007/S10114-005-0880-2zbMath1119.62056OpenAlexW2126421314MaRDI QIDQ2385332

Xu You, Di-Rong Chen

Publication date: 12 October 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0880-2

zbMATH Keywords

rate of convergencemodulus of continuityerror probabilitymulticategory classification

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Classification and discrimination; cluster analysis (statistical aspects) (62H30) Minimax procedures in statistical decision theory (62C20) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (2)

The learning rate of \(l_2\)-coefficient regularized classification with strong loss ⋮ Learning rates for least square regressions with coefficient regularization

Cites Work

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• Minimax nonparametric classification .I. Rates of convergence
• Multicategory Support Vector Machines
• Metric entropy and approximation

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